Capacitors in Circuits

Problems

practice

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numerical

A 12 V battery is connected to two resistors and two capacitors as shown in the diagram on the right. The resistors and the capacitors were chosen so that points A and B are at the same potential. Determine…

the potential drop across the 1 Ω resistor

the potential drop across the 3 Ω resistor

the current through the 1 Ω resistor

the current through the 3 Ω resistor

the potential drop across the 1 μF capacitor

the potential drop across the unknown capacitor

the charge stored in the 1 μF capacitor

the charge stored in the unknown capacitor

the capacitance of the unknown capacitor

The circuit below is made of three 2 Ω resistors, three 2 µF capacitors, and a 12 V battery. There is a rotating switch at the top and bottom of the circuit made out of wire in the shape of a "T". Initially, all capacitors are uncharged and both switches are midway between two positions.

currents through…

charges on…

R1

R2

R3

C1

C2

C3

initial conditions

0 A

0 A

0 A

0 µC

0 µC

0 µC

The two switches are then simultaneously rotated into a series of three positions, one after the other, and held there for a "long time". For each position, determine the current through each resistor and the charge on each capacitor at the moment the circuit is completed and then after a "long time".